文献类型：期刊文献

英文题名：EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO THE LOGARITHMIC SCHRO¨DINGER EQUATION WITH A POTENTIAL ON HYPERBOLIC SPACE

作者：Zhu, Xinjie[1]

机构：[1]East China Univ Sci & Technol, Shanghai, Peoples R China

年份：2026

外文期刊名：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S

收录：;WOS:【SCI-EXPANDED(收录号:WOS:001742423800001)】；

基金：The first author is supported by [School of Mathematics, East China University of Science and Technology, China].

语种：英文

外文关键词：Logarithmic Schrodinger equation; hyperbolic space; ground states; multiplicity; nonsmooth critical point theory

摘要：In this paper, we study the existence and multiplicity of solutions to the logarithmic Schro & uml;dinger equation on the hyperbolic space 18N: -triangle BNu + V (x)u = u log u2, x is an element of 18N, where 18N denotes the disc model of hyperbolic space and triangle BN is the Laplace-Beltrami operator in dimension N >= 2. The potential V : 18N -> ]IB is continuous and satisfies certain technical conditions. When V is coercive, we establish the existence of infinitely many solutions by employing arguments based on the Fountain theorem. In the cases where the potential is periodic, asymptotically periodic, or bounded, we further prove the existence of ground state solutions using variational methods.